EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

被引：5

作者：

Min, Dandan ^{[1
]}

Chen, Fangqi ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractional advection-dispersion equation; variational approach; impulsive; iterative technique; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATION; POSITIVE SOLUTIONS; P-LAPLACIAN;

D O I：

10.11948/20190181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the variational approach and iterative technique, the existence of nontrivial weak solutions is derived for a fractional advection-dispersion equation with impulsive effects, and the nonlinear term of fractional advection-dispersion equation contain the fractional order derivative. In addition, an example is presented as an application of the main result.

引用

页码：1005 / 1023

页数：19